| Title of paper:
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Intuitionistic fuzzy linear optimization
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| Author(s):
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| Rangasamy Parvathi
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| Department of Mathematics, Vellalar College for Women, Erode–638 012, Tamilnadu, India
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| paarvathis@rediffmail.com
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| C. Malathi
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| Department of Mathematics, Gobi Arts and Science College, Gobi–638 456, Tamilnadu, India
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 1, pages 48—56
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| Download:
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 PDF (171 Kb, File info)
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| Abstract:
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A new concept to the optimization problem in an intuitionistic fuzzy environment is introduced. A general model, of linear programming problems in which both the right hand side constants and the technological coefficients are intuitionistic fuzzy numbers, has been presented. An attempt has been made to find a general linear non-membership function and intuitionistic fuzzy index together with the membership function of the objective function and constraints in the solution of the given Intuitionistic Fuzzy Linear Programming Problem (IFLPP). Stepwise algorithm is given for solving an IFLPP and it is checked with a numerical example using intuitionistic fuzzy decisive set method.
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| Keywords:
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Intuitionistic fuzzy set, Intuitionistic fuzzy linear programming problem, Intuitionistic fuzzy optimization, Membership and non-membership functions, Intuitionistic index, Intuitionistic fuzzy decisive set method
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| AMS Classification:
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03E72.
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